Details

analyze45.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	14%	86%	0
0%	14%	86%	1
0%	14%	86%	2
0%	14%	86%	3
0%	14%	86%	4
0%	14%	86%	5
0%	14%	86%	6
8.1%	5.9%	86%	7
10.3%	3.7%	86%	8
12.6%	1.5%	86%	9
13.9%	0.1%	86%	10
14%	0%	86%	11
14%	0%	86%	12
14%	0%	86%	13
14%	0%	86%	14

Compiler

Compiled 63 to 34 computations (46% saved)

sample37.0ms (0.2%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 116 to 64 computations (44.8% saved)

simplify138.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5395	79

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

54.0b

Counts

2 → 1

Compiler

Compiled 106 to 54 computations (49.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
33.8b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
46.5b	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

rewrite154.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`times-frac_binary64_2130`
66×	`associate-/r/_binary64_2070` `flip3-+_binary64_2127` `flip-+_binary64_2098`
61×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
46×	`add-sqr-sqrt_binary64_2146`
44×	`frac-times_binary64_2134` `*-un-lft-identity_binary64_2124`
34×	`associate-*r/_binary64_2066`
30×	`add-cube-cbrt_binary64_2159`
28×	`difference-of-squares_binary64_2093`
22×	`associate-*l/_binary64_2067` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
19×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
16×	`pow1_binary64_2185`
14×	`associate-/l*_binary64_2069` `difference-of-sqr-1_binary64_2094`
9×	`div-inv_binary64_2121` `associate-/l/_binary64_2071`
7×	`associate-/r*_binary64_2068`
6×	`associate-r_binary64_2064`
4×	`pow-prod-down_binary64_2195` `add-log-exp_binary64_2163` `associate-l_binary64_2065`
3×	`swap-sqr_binary64_2091`
2×	`clear-num_binary64_2123` `*-commutative_binary64_2055` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `frac-2neg_binary64_2135`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `pow2_binary64_2205` `pow-sqr_binary64_2097`

Counts

4 → 228

Calls

4 calls:

45.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
28.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
17.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
14.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

series1.9s (8.8%)

Counts

4 → 12

Calls

4 calls:

1.5s	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
208.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
101.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
48.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5261	18181

prune700.0ms (3.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	232	8	240
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	232	9	241

Error

30.9b

Counts

241 → 9

Compiler

Compiled 17744 to 6675 computations (62.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))
0.1b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
31.5b	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
31.7b	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

rewrite424.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

414×	`times-frac_binary64_2130`
314×	`add-sqr-sqrt_binary64_2146`
280×	`*-un-lft-identity_binary64_2124`
169×	`add-cube-cbrt_binary64_2159`
111×	`associate-r_binary64_2064`
70×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
62×	`difference-of-squares_binary64_2093`
48×	`associate-/r/_binary64_2070`
42×	`associate-l_binary64_2065`
33×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
31×	`distribute-lft-out--_binary64_2076` `difference-of-sqr-1_binary64_2094`
24×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `div-inv_binary64_2121`
19×	`associate-/l*_binary64_2069`
16×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
13×	`associate-/r*_binary64_2068`
9×	`distribute-lft-out_binary64_2075`
6×	`unswap-sqr_binary64_2092` `pow1_binary64_2185`
5×	`associate-/l/_binary64_2071`
4×	`add-log-exp_binary64_2163`
3×	`clear-num_binary64_2123` `associate-*r/_binary64_2066` `frac-2neg_binary64_2135`
2×	`flip--_binary64_2099` `flip3--_binary64_2128`
1×	`pow-prod-down_binary64_2195` `-commutative_binary64_2055` `associate-l/_binary64_2067` `frac-times_binary64_2134`

Counts

4 → 395

Calls

4 calls:

132.0ms	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
28.0ms	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))
14.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
13.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))

series1.9s (8.8%)

Counts

4 → 12

Calls

4 calls:

1.5s	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
184.0ms	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))
106.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
64.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))

simplify237.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

407 → 407

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5170	30002

prune1.4s (6.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	403	4	407
Fresh	3	4	7
Picked	1	0	1
Done	1	0	1
Total	408	8	416

Error

30.9b

Counts

416 → 8

Compiler

Compiled 32111 to 13006 computations (59.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))
0.1b	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
31.5b	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
31.7b	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

rewrite211.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

190×	`times-frac_binary64_2130`
152×	`add-sqr-sqrt_binary64_2146`
132×	`*-un-lft-identity_binary64_2124`
111×	`associate-r_binary64_2064`
94×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
83×	`add-cube-cbrt_binary64_2159`
43×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
30×	`difference-of-squares_binary64_2093`
25×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
24×	`associate-/r/_binary64_2070`
15×	`distribute-lft-out--_binary64_2076` `difference-of-sqr-1_binary64_2094`
13×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
12×	`div-inv_binary64_2121`
10×	`associate-/r*_binary64_2068`
9×	`associate-l_binary64_2065`
7×	`associate-/l/_binary64_2071`
6×	`pow1_binary64_2185`
5×	`associate-/l*_binary64_2069`
4×	`add-log-exp_binary64_2163` `associate-*r/_binary64_2066`
3×	`clear-num_binary64_2123` `unswap-sqr_binary64_2092` `frac-2neg_binary64_2135`
2×	`distribute-lft-out_binary64_2075` `associate-*l/_binary64_2067` `frac-times_binary64_2134`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `*-commutative_binary64_2055`

Counts

4 → 253

Calls

4 calls:

74.0ms	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
56.0ms	(/.f64 (.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))
14.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
11.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))

series2.1s (9.6%)

Counts

4 → 12

Calls

4 calls:

1.5s	(/.f64 (.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1))
364.0ms	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (.f64 i 2))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2)) 1)))
114.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2)))
60.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))

simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5138	16401

prune695.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	265	8	273

Error

30.9b

Counts

273 → 8

Compiler

Compiled 19569 to 7916 computations (59.5% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
12.0b	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2))))
19.6b	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
31.5b	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))

rewrite293.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

897×	`times-frac_binary64_2130`
607×	`add-sqr-sqrt_binary64_2146`
560×	`sqrt-prod_binary64_2140`
557×	`*-un-lft-identity_binary64_2124`
407×	`add-cube-cbrt_binary64_2159`
100×	`difference-of-squares_binary64_2093`
52×	`associate-/r/_binary64_2070` `associate-/l*_binary64_2069`
50×	`distribute-lft-out--_binary64_2076` `sqrt-div_binary64_2141` `difference-of-sqr-1_binary64_2094`
29×	`associate-/r*_binary64_2068`
26×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `div-inv_binary64_2121`
25×	`add-exp-log_binary64_2162`
21×	`add-cbrt-cube_binary64_2160`
12×	`div-exp_binary64_2175`
9×	`cbrt-undiv_binary64_2158`
6×	`associate-/l/_binary64_2071`
4×	`clear-num_binary64_2123` `pow1_binary64_2185` `add-log-exp_binary64_2163` `frac-2neg_binary64_2135`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate-*r/_binary64_2066`
1×	`prod-exp_binary64_2173` `1-exp_binary64_2168` `cbrt-unprod_binary64_2157` `rec-exp_binary64_2174`

Counts

4 → 652

Calls

4 calls:

31.0ms	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
28.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
16.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))
12.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2))))

series1.9s (8.7%)

Counts

4 → 12

Calls

4 calls:

1.3s	(/.f64 (/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
268.0ms	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)))) (sqrt.f64 (-.f64 (+.f64 (+.f64 alpha beta) (.f64 i 2)) 1)))
221.0ms	(/.f64 (+.f64 (.f64 alpha beta) (.f64 i (+.f64 i (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2))))
61.0ms	(/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (.f64 i 2)))

simplify404.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

664 → 664

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4973	46773
1	4973	46773

prune5.1s (23.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	664	0	664
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	664	8	672

Error

30.9b

Counts

672 → 8

Compiler

Compiled 68272 to 33141 computations (51.5% saved)

regimes786.0ms (3.7%)

Accuracy

Total 2.3b remaining (6.4%)

Threshold costs 0b (0%)

Compiler

Compiled 16012 to 8369 computations (47.7% saved)

bsearch34.0ms (0.2%)

Steps

Iters	Range		Point
7	1.1220579917193388e+216	1.7167361213471183e+218	1.1417663426306565e+216

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	89
1	43	89

end0.0ms (0%)

sample2.8s (13.1%)

Algorithm

1×

intervals

Results

636.0ms	8000×	body	128	valid
185.0ms	8000×	pre	128	true

Compiler

Compiled 4058 to 2123 computations (47.7% saved)

Details

analyze45.0ms (0.2%)

sample37.0ms (0.2%)

simplify138.0ms (0.6%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite154.0ms (0.7%)

series1.9s (8.8%)

simplify154.0ms (0.7%)

prune700.0ms (3.2%)

localize18.0ms (0.1%)

rewrite424.0ms (2%)

series1.9s (8.8%)

simplify237.0ms (1.1%)

prune1.4s (6.4%)

localize18.0ms (0.1%)

rewrite211.0ms (1%)

series2.1s (9.6%)

simplify146.0ms (0.7%)

prune695.0ms (3.2%)

localize24.0ms (0.1%)

rewrite293.0ms (1.4%)

series1.9s (8.7%)

simplify404.0ms (1.9%)

prune5.1s (23.5%)

regimes786.0ms (3.7%)

bsearch34.0ms (0.2%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.8s (13.1%)

Profiling